Calculation of multi-loop superstring amplitudes. (7th November 2016)

• Record Type: Journal Article
• Authors: Danilov, G S
• Is Part Of: Classical and quantum gravity. Volume 33:Number 23(2016:Dec.)
• Publication Date: 2016-11-07
• Subjects: superstrings -- multi-loop amplitudes -- finiteness -- vacuum amplitude -- nullification; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/0264-9381/33/23/235012
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: The multi-loop interaction amplitudes in the closed, oriented superstring theory are obtained by the integration of local amplitudes. The local amplitude is represented by a sum over the spinning string local amplitudes. The spinning string local amplitudes are given explicitly through super-Schottky group parameters and through interaction vertex coordinates on the ( 1 ∣ 1 ) complex, non-split supermanifold. The obtained amplitudes are free from divergences. They are consistent with the world-sheet spinning string symmetries. The vacuum amplitude vanishes along with 1-, 2- and 3-point amplitudes of massless states. The vanishing of the above-mentioned amplitude occurs after the integration of the corresponding local amplitude has been performed over the super-Schottky group limiting points and over interaction vertex coordinate, except for those ( 3 ∣ 2 ) variables which are fixed due to SL (2)-symmetry.